George goes to the supermarket to buy some canned tomatoes to make salsa for a party. The cans are on sale for $0.95 each. He has $4.75. Let x represent the number of cans that he can buy. Which equation models this situation?

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

Take the price of each can and multiply by the cost of the cans

.95x

This must be less than or equal to 4.75

.95x ≤ 4.75

They may choose to use an equals sign,  since they asked for an equation

.95x = 4.75

Answer 2

Answer: 0.95x = 4.75

Step-by-step explanation:

Since we do not know how much George can buy, we will put x as 0.95x

If you solve 0.95x=4.75 by dividing 0.95 on both sides you will get the number of cans he can buy which is 5.


Related Questions

Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3

Answers

Answer:

The correct option is;

3 + (-9) = -6, because -6 is 9 units to the left of 3

Step-by-step explanation:

The given information are;

Kelvin's score after the first round is shown at point K on the number line

The range of numbers on the number line = -10 to +10

The position of point K after the first round = +3

The number of points Kevin lost in the second round = 9 points

Therefore, Kevin's cumulative score = +3 - 9 = -6

Therefore, the expression that shows how many total points he has at the end is of round 2 = 3 + (-9) = -6, because -6 is 9 units to the left of 3.

In the second raffle, winning tickets are prime numbers. Click on the winning tickets. 11 71 66 18 22 15 19 49 60 9 75 1 45 88 67 72 30 16 99 43

Answers

Answer:

11, 71, 19, 67, 43.

Step-by-step explanation:

in this figure ST || QR, PT = 4cm, TR = 8cm, area of PQR = 90cm^2. Find PT:TR please help me ​

Answers

Answer: The required ratio is PT:TR  = 1:2.

Step-by-step explanation:

Given: In triangle PQR, ST || QR, PT = 4cm, TR = 8cm, area of PQR = 90 cm².

To find : PT:TR

.i.e. Ratio of PT to TR.

Here, PT:TR[tex]=\dfrac{PT}{TR}[/tex]

[tex]=\dfrac{4\ cm}{8\ cm}[/tex]

Divide numerator and denominator by 4 , we get

[tex]\dfrac{1}{2}[/tex]

Therefore, the required ratio is PT:TR  = 1:2.

Find the formula for the inverse function.f(x)=2/3-4x​

Answers

Answer:

f exponent − 1  ( x )  =  -X/4  +  1/ 6

Plz mark brainlyest

Step-by-step explanation:

(If gets it right get's brainliest)If the hypotenuse of an isosceles right triangle is 14, what is the area of the triangle?

Answers

Answer:

49 unit²

Step-by-step explanation:

Right triangle with equal legs given, let the leg be x.

Hypotenuse of isosceles right triangle is

√x² + x² = x√2

Area of triangle:

1/2ah= 1/2x²

Since we have hypotenuse = 14 units:

x√2=14x= 14/√2

Then area:

1/2x² = 1/2*(14/√2)² = 1/2*14²/2 = 7² = 49 unit²

This rectangular patio is tiled using 50 cm by 50 cm square tiles. How many tiles are used?

Answers

Answer:

60 tiles are used

Step-by-step explanation:

1m equals 100 cm.

5m equals 500

3m equals 300

the whole thing is 500 by 300 which when you multiply gives you

150,000. When you multiple 50 by 50 it gives you 2,500. So when you divide 150,000 by 2,500 it gives you a total of 60 tiles. HOPE THIS HELPS

Answer:

60 tiles

Step-by-step explanation:

First, I would convert cm to m to make it easier

50 cm is .5 m

Now we can find how many tiles across it takes to make one row (5m)

.5 goes into 5, 10 times

That means we need 10 tiles across to fill one row

Now we need to find how many tiles it takes to fill up a column (3m)

.5 goes into 3, 6 times

It takes 6 tiles to fill up a column

Now we know it takes 10 tiles across and 6 vertically

10x6=60

60 tiles

HELP ME!!!!And I mark as BRAINLIEST✨✨make sure show proper working

Answers

Answer:

54 km/h

Step-by-step explanation:

From H to G:

Let the distance be x km.

Average speed = distance/time

60 = x/ 3

60*3 = x

x = 180 km

From G to F:

Let the distance be y km.

Average speed = distance/time

45 = y/2

45*2 = y

y = 90 km

From H to F:

Total distance = x + y = 180 + 90 = 270 km

Total time = 3 + 2 = 5 hours

Average speed from H to F

= Total distance/ total time

= 270/ 5

= 54 km/h

There are several sets of different numbers which can be chosen from {0,1,2,3,4,5,6,7,8,9}. c How many of these sets contain any 4 numbers?

Answers

Answer: The number of sets contain any 4 numbers = 210

Step-by-step explanation:

Given: Universal set = {0,1,2,3,4,5,6,7,8,9}.

i.e. Total choices = Numbers in set = 10

By combinations, the number of sets contain any 4 numbers =[tex]^{10}C_4[/tex]

[tex]=\dfrac{10!}{4!6!}\ \ \ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{10\times9\times8\times7\times6!}{4\times3\times2\times1 \times6!}\\\\=210[/tex]

Hence, the number of sets contain any 4 numbers = 210

Point T is on line segment SU. Given ST=13 and TU=5, determine the length SU.

Answers

Answer:

[tex]SU=18[/tex]

Step-by-step explanation:

The segments ST and TU make up the line segment SU. Add the values to find SU:

[tex]ST+TU=SU\\\\13+5=18[/tex]

The length of SU is 18.

The length of SU is 18 units.

We have a point T is between S and U.

We have to determine the length SU.

What is Line Segment?A line segment is a part of a line having two end - points.A line segment has a definite length.

According to the question -

ST = 13 units

TU = 5 units

Now -

SU = ST + TU = 13 + 5 = 18 units

Hence, the length of SU is 18 units.

To solve more questions on Line Segments, visit the link below-

brainly.com/question/19569734

#SPJ2

Make the biggest possible number using the digits below only once 3 , 1 , 3 answer

Answers

Answer:

331

Step-by-step explanation:

A number with 3 digits: using only

3, 1, 3

then:

3>1

the biggest possible number is:

331

Answer:

331

Step-by-step explanation:

Possible Combinations:

133

313

331

Out of these combinations, using process of elimination, we can determine that 331 is the greatest value out of the three numbers provided.

Questions attached below (❁´◡`❁)

Answers

Problem 2

Josh forgot to apply the square root to 16 when he went from [tex](x-3)^2 = 16[/tex] to [tex]x-3 = 16[/tex]

Also, he forgot about the plus/minus.

This is what his steps should look like

[tex]x^2 - 6x - 7 = 0\\\\x^2 - 6x = 7\\\\x^2 - 6x +9= 7+9\\\\(x-3)^2= 16\\\\x-3= \pm\sqrt{16}\\\\x-3= 4 \text{ or } x-3= -4\\\\x= 7 \text{ or } x= -1\\\\[/tex]

There are two solutions and they are x = 7 or x = -1. To check each solution, you plug it back into the original equation

Let's try out x = 7

x^2 - 6x - 7 = 0

7^2 - 6(7) - 7 = 0

49 - 42 - 7 = 0

0 = 0 ... solution x = 7 is confirmed. I'll let you check x = -1

====================================================

Problem 3

We will have

a = 1, b = -4, c = 3

plugged into the quadratic formula below to get...

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-4)\pm\sqrt{(-4)^2-4(1)(3)}}{2(1)}\\\\x = \frac{4\pm\sqrt{4}}{2}\\\\x = \frac{4\pm2}{2}\\\\x = \frac{4+2}{2} \ \text{ or } \ x = \frac{4-2}{2}\\\\x = \frac{6}{2} \ \text{ or } \ x = \frac{2}{2}\\\\x = 3 \ \text{ or } \ x = 1\\\\[/tex]

The two solutions are x = 3 or x = 1. You would check this by plugging x = 3 back into the original expression x^2 - 4x + 3. The result should be zero. The same applies to x = 1 as well.

What is the responsible estimate of 6207 divided 214

Answers

Answer:

31

Step-by-step explanation:

We want to estimate 6207 / 214

Round 6207 to 6200

and 214 to 200

6200/200

62/2 = 31

We know that our estimate will be a little high since we are rounding the denominator down

what is the gcf of 3x^2 +9

Answers

Answer:v

Step-by-step explanation:

3(x^2+3)

the gcf is 3

Answer: 3 is the gcf

Step-by-step explanation:

3 is a factor of both 3 and 9. 1 is the other common factor. 3 is the greatest common factor. If you were looking at larger numbers with many common factors like 24 and 48, factors include 1,2,3,4,6,8,12,&24 You might find other smaller factors useful, but most of the time it's the gif that needs to be factored out: 3(x^2 + 3)

Complete the square to transform the expression x2 - 2x - 2 into the form a(x - h)2 + k

Answers

Answer:

A

Step-by-step explanation:

Find the vertex form of the quadratic function below.

y = x^2 - 4x + 3

This quadratic equation is in the form y = a{x^2} + bx + cy=ax  

2

+bx+c. However, I need to rewrite it using some algebraic steps in order to make it look like this…

y = a(x - h)^2 + k

This is the vertex form of the quadratic function where \left( {h,k} \right)(h,k) is the vertex or the “center” of the quadratic function or the parabola.

Before I start, I realize that a = 1a=1. Therefore, I can immediately apply the “completing the square” steps.

STEP 1: Identify the coefficient of the linear term of the quadratic function. That is the number attached to the xx-term.

STEP 2: I will take that number, divide it by 22 and square it (or raise to the power 22).

STEP 3: The output in step #2 will be added and subtracted on the same side of the equation to keep it balanced.

Think About It: If I add 44 on the right side of the equation, then I am technically changing the original meaning of the equation. So to keep it unchanged, I must subtract the same value that I added on the same side of the equation.

STEP 4: Now, express the trinomial inside the parenthesis as a square of a binomial, and simplify the outside constants.

After simplifying, it is now in the vertex form y = a{\left( {x - h} \right)^2} + ky=a(x−h)  

2

+k where the vertex \left( {h,k} \right)(h,k) is \left( {2, - 1} \right)(2,−1).

Visually, the graph of this quadratic function is a parabola with a minimum at the point \left( {2, - 1} \right)(2,−1). Since the value of “aa” is positive, a = 1a=1, then the parabola opens in upward direction.

Example 2: Find the vertex form of the quadratic function below.

The approach to this problem is slightly different because the value of “aa” does not equal to 11, a \ne 1a  

​  

=1. The first step is to factor out the coefficient 22 between the terms with xx-variables only.

STEP 1: Factor out 22 only to the terms with variable xx.

STEP 2: Identify the coefficient of the xx-term or linear term.

STEP 3: Take that number, divide it by 22, and square.

STEP 4: Now, I will take the output {9 \over 4}  

4

9

​  

 and add it inside the parenthesis.

By adding {9 \over 4}  

4

9

​  

 inside the parenthesis, I am actually adding 2\left( {{9 \over 4}} \right) = {9 \over 2}2(  

4

9

​  

)=  

2

9

​  

 to the entire equation.

Why multiply by 22 to get the “true” value added to the entire equation? Remember, I factored out 22 in the beginning. So for us to find the real value added to the entire equation, we need to multiply the number added inside the parenthesis by the number that was factored out.

STEP 5: Since I added {9 \over 2}  

2

9

​  

 to the equation, then I should subtract the entire equation by {9 \over 2}  

2

9

​  

 also to compensate for it.

STEP 6: Finally, express the trinomial inside the parenthesis as the square of binomial and then simplify the outside constants. Be careful combining the fractions.

It is now in the vertex form y = a{\left( {x - h} \right)^2} + ky=a(x−h)  

2

+k where the vertex \left( {h,k} \right)(h,k) is \left( {{{ - \,3} \over 2},{{ - 11} \over 2}} \right)(  

2

−3

​  

,  

2

−11

​  

).

Example 3: Find the vertex form of the quadratic function below.

Solution:

Factor out - \,3−3 among the xx-terms.

The coefficient of the linear term inside the parenthesis is - \,1−1. Divide it by 22 and square it. Add that value inside the parenthesis. Now, figure out how to make the original equation the same. Since we added {1 \over 4}  

4

1

​  

 inside the parenthesis and we factored out - \,3−3 in the beginning, that means - \,3\left( {{1 \over 4}} \right) = {{ - \,3} \over 4}−3(  

4

1

​  

)=  

4

−3

​  

 is the value that we subtracted from the entire equation. To compensate, we must add {3 \over 4}  

4

3

​  

 outside the parenthesis.

Therefore, the vertex \left( {h,k} \right)(h,k) is \left( {{1 \over 2},{{11} \over 4}} \right)(  

2

1

​  

,  

4

11

​  

).

Example 4: Find the vertex form of the quadratic function below.

y = 5x^2 + 15x - 5  

Solution:

Factor out 55 among the xx-terms. Identify the coefficient of the linear term inside the parenthesis which is 33. Divide it by 22 and square to get {9 \over 4}  

4

9

​  

.

Add {9 \over 4}  

4

9

​  

 inside the parenthesis. Since we factored out 55 in the first step, that means 5\left( {{9 \over 4}} \right) = {{45} \over 4}5(  

4

9

​  

)=  

4

45

​  

 is the number that we need to subtract to keep the equation unchanged.

Express the trinomial as a square of binomial, and combine the constants to get the final answer.

Therefore, the vertex \left( {h,k} \right)(h,k) is {{ - \,3} \over 2},{{ - \,65} \over 4}  

2

−3

​  

,  

4

−65

​  

.

Answer:

(x - 1 )^2 - 3

Step-by-step explanation:

( x - 1 )^2 + ( -3)

x^2 - 2x + 1 - 3

x^2 - 2x - 2

Get this correct i will give u brainliest.

Answers

Answer:

x = - 2, y = - 8

Step-by-step explanation:

Given the 2 equations

13x - 6y = 22 → (1)

x = y + 6 → (2)

Substitute x = y + 6 into (1)

13(y + 6) - 6y = 22 ← distribute and simplify left side

13y + 78 - 6y = 22

7y + 78 = 22 ( subtract 78 from both sides )

7y = - 56 ( divide both sides by 7 )

y = - 8

Substitute y = - 8 into (2) and evaluate for x

x = - 8 + 6 = - 2

Thus x = - 2, y = - 8

Complete the table. At least the first few so I understand how to do it

Answers

Answer:

What we need to do is simply multiply the values in both columns e.g 4 * 3/36 = 12/36

Please check explanation for complete answer

Step-by-step explanation:

Here, we are concerned about filling the empty columns of the table.

What we want to do here is simply straightforward. All we need to do is to

multiply the values of x by the values of P(x) in each of the individual rows.

Also recall, we do not need to reduce the fractions.

So we have;

2. 3 * 2/36 = 6/36

3. 4 * 3/36 = 12/36

4. 5 * 4/36 = 20/36

5. 6 * 5/36 = 30/36

6. 7 * 6/36 = 42/36

7. 8 * 5/36 = 40/36

8. 9 * 4/36 = 36/36

9. 10 * 3/36 = 30/36

10. 11 * 2/36 = 22/36

11. 12 * 1/36 = 12/36

Whats the mean of the box plot 50 60 70 80 90 100

Answers

Answer:

75

Step-by-step explanation:

Mean = sum of all numbers / how many of numbers

=> 50 + 60 + 70 + 80 + 90 + 100 / 6

=> 450 / 6

=> 75

So, the mean of this data is 75.

can u help me ASAP. i need to know how to do it step by step​

Answers

Answer:

19

Step-by-step explanation:

[tex]f(x) =4x^3-8x^2+ax+b[/tex] has a factor [tex]2x-1[/tex] and

when divided by [tex]x+2[/tex], remainder is 20.

To find:Remainder when divided by (x-1)  ?

Solution:

[tex]2x-1[/tex] is a factor

[tex]2x - 1 = 0 \Rightarrow x = \frac{1}{2}[/tex] when we put this value of x to the function, it will become 0.

i.e.

[tex]\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)[/tex]

Remainder is 20 when f(x) is divided by [tex]x+2[/tex]

i.e.

[tex]f(-2) =20[/tex]

[tex]\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)[/tex]

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

[tex]5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}[/tex]

By equation (1):

[tex]a+2(18) = 3\\\Rightarrow a = -33[/tex]

So, the equation becomes:

[tex]f(x) =4x^3-8x^2-33x+18[/tex]

[tex]\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}[/tex]

So, when divided by (x-1), remainder will be 19.

What does 6x − 9 = 45 equal?

Answers

Answer:

9

Step-by-step explanation:

Add nine to both sides:

[tex]6x = 54[/tex]

Divide by six:

[tex] \frac{6x = 54}{6} [/tex]

[tex]x = 9[/tex]

Answer:

x = 9

Step-by-step explanation:

Add 9 to each side to begin simplifying. It should now look like this:      6x = 54Now, divide each side by 6 to find the value of x. It should look like this:     x = 9

I hope this helps!

On a plane trip, baggage over 40 pounds is
charged at the rate per pound of 1% of the one-
way fare. The charge for a bag weighing 52
pounds on a trip where the one-way fare is $98
is:

HELP PLEASEE!! QUICK!!​

Answers

Answer:

$11.76

Step-by-step explanation:

Given:

Baggage having its weight greater than 40 pounds is charged at rate of 1% of the one-way fare .

Here, as per statement  One way fare of a trip = $98  

Weight of bag on that trip = 52 pounds

To find:

Charge for bag for this trip = ?

Solution:

Weight greater than that of 40 pounds = Given total Weight of baggage - 40 pounds

As per the given statement:

Weight greater than that of 40 pounds = 52 - 40 pounds = 12 pounds

Charges on extra baggage =  weight in pounds more than 40 multiplied by  1% of one-way fare.

Given that this trip has one way fare = $98.

The charge for a bag weighing 52 pounds = 1% of 98 \times 12

[tex]\Rightarrow \dfrac{1}{100}\times 98 \times 12\\\Rightarrow 98 \times 0.12\\\Rightarrow \bold{\$11.76}[/tex]

So, the answer is $11.76.

Anyone the answers? Please help

Answers

Answer:

1.) 3 shovels/7 buckets

2.)7 buckets/3shovels

One type of fabric costs $31.25 for 5 square yards. Another type of fabric costs $71.50 for 11
square yards. Is the relationship between the number of square yards and the cost
proportional between the two types of fabric?

Answers

Answer:

as ratio of two type of fabric is different .

hence, the relationship between the number of square yards and the cost

is not proportional between the two types of fabric

Step-by-step explanation:

For a relation to be proportional

a:b = c:d

in other form

a/b = c/d

______________________________________________

Ratio for first type of fabric

cost of fabric/ area of fabric = 31.25/5 = 6.25

Ratio for other type of fabric

cost of fabric/ area of fabric = 71.50/11 = 6.5

as ratio of two type of fabric is different .

hence, the relationship between the number of square yards and the cost

is not proportional between the two types of fabric

A square has a perimeter of 48 in. Find the perimeter of a triangle with each side 4 inches longer than the side of the square.

Answers

Answer:

48 in.

Step-by-step explanation:

square

P = 4s

4s = 48 in.

s = 12 in.

triangle

s = 12 in. + 4 in.

s = 16 in.

P = 3s = 3(16 in.)

P = 48 in.

Help me on Domain and Range

Answers

Answer:

Domain: 0 ≤ x < 9

Range: 0 < y ≤ 3

Step-by-step explanation:

The domain is the set of all values used for x-coordinates of all points on the curve.

The range is the set of all values used for y-coordinates of all points on the curve.

Look at the graph. The leftmost point is (0, 3). That point is included in the graph since there is no open circle there.

So far we know this:

Domain goes from 0 to ...

Range goes from 3 to ...

Now we look at the rightmost point. It is (9, 0), but there is an open circle on it, so that point itself is not included in the domain or range.

Now we know this:

Domain goes from 0 to just less than 9.

Range goes from 3 to to just more than 0.

Domain: 0 ≤ x < 9

Range: 0 < y ≤ 3

how many are 2 raised to 2 ???​

Answers

Answer:

[tex]\huge \boxed{4}[/tex]

Step-by-step explanation:

2 raised to 2 is also the base 2 with an exponent of 2.

[tex]2^2[/tex]

2 is squared or multiplied by itself.

[tex]2^2 =2 \times 2 = 4[/tex]

Brooke is evaluating her college credit hours. In order to graduate, Brooke must complete at least 132 credit hours. She has already completed 4 semesters, receiving 15 credit hours per semester. Which inequality could be used to find c, the number of credit hours that Brooke needs to complete in order to graduate college? A. 4(15) + 4c > 132 B. 4(15) + c > 132 C. 4(15) + c < 132 D. 4(15) + 4c < 132

Answers

Answer:

B. 4(15) + c > 132

Step-by-step explanation:

  We already establish an understand  that, for Brooke to graduate she needs nothing less than 132 credit hours.

Now a semester has 15 credit hours, she has 4 semester completed already.

Hence 15*4= 60 credit hours done and dusted

This means that she has 132-60 = 72 credit hours to go

Since "c" is the number of credit hours that Brooke needs to complete in order to graduate college.

The inequality can be modeled as,

4(15) + c > 132

60 + c > 132

c= 132-60

c= 72

URGENT PLS HELP ASAP! THANK YOU :)​

Answers

Answer:

box 1 and box2 are correct.

I need some help plsssssssssssss

Answers

Answer:

See below.

Step-by-step explanation:

p: Atlanta is the capital of Georgia.

q: There are 4 feet in a yard.

p is true; q is false

11. p V q:

Atlanta is the capital of Georgia, or there are 4 feet in a yard.

Truth value: true since one of the statements is true.

12. p ▲ q:

Atlanta is the capital of Georgia, and there are 4 feet in a yard.

Truth value: false since not both statements are true.

13. p ▲ ~q:

Atlanta is the capital of Georgia, and there are not 4 feet in a yard.

Truth value: true since both of the statements are true.

11. ~p V q:

Atlanta is not the capital of Georgia, or there are 4 feet in a yard.

Truth value: false since both statements are false.

Answer:

Step-by-step explanation:

Give the values of a, b, and c needed to write the equation's general form.
1/4x^2+5=0

Answers

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Let's solve your equation step-by-step.

[tex]\frac{1}{4} x^2+5=0[/tex]

For this equation: [tex]a=0.25, b=0, c=5[/tex]

[tex]0.25x^2 + 0x + 5 = 0[/tex]

Step 1: Use quadratic formula with [tex]a=0.25, b=0, c=5.[/tex]

[tex]x = \frac{-b ± \sqrt{b^2 - 4ac} }{2a}[/tex]

[tex]x = \frac{-(0) ± \sqrt{(0)^2 -4 (0.25) (5) } }{2(0.25)}[/tex]

[tex]x = \frac{0 ± \sqrt{-5} }{0.5}[/tex]

Answer : No Real Solutions.

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Nan left her house at 1 p.m. driving at a constant speed of 40 miles perhour. If she continues at that same speed for the entire trip, she will reach
her destination at 4:45 p.m. If Nan were to drive 10 miles per hour faster,
how much quicker would she arrive?

Answers

Answer:

45 minutes faster

Step-by-step explanation:

Distance:

40 x 3.75 = 150

If travel 50 miles/h:

150/50 = 3

3.75 - 3 = 0.75 of hour

45 minutes

Hope that helped!!! k

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